It's a Boy for Rachel Zoe

The celebrity stylist and husband Rodger Berman have welcomed their first child, a son named Skyler Morrison Berman, in Los Angeles, her rep tells PEOPLE. He weighed in at 6 lbs., 12 oz. and is 20 inches long.

"Mom and Dad 'LITERALLY' could not be happier or more in love with their son!" the couple said in a statement.

Zoe, 39, later Tweeted, "Thank you all so much for your love! [Rodger] and I couldn't be happier with little Skyler Morrison in our arms ... he is everything."

Zoe – whose notorious work ethic is documented on The Rachel Zoe Project – managed to take it easy during her pregnancy, which she recently called a "wonderful, drama-free time."

While Zoe decided to forego gifts in favor of donations to the charity Baby2Baby at her recent shower, it's safe to assume her son will be one fashionable baby.